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Finding the Fourth Proportional to 25,211.04, 37,802.16 and 7,675.68

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Solution

The fourth proportional to 25,211.04, 37,802.16 and 7,675.68 is: 11,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,211.04 : 37,802.16 = 7,675.68 : x
  2. Step 2: Convert to fraction form
    25,211.04/37,802.16 = 7,675.68/x
  3. Step 3: Cross multiply
    25,211.04x = 37,802.16 × 7,675.68
  4. Step 4: Simplify right side
    25,211.04x = 290,157,283.47
  5. Step 5: Solve for x
    x = 290,157,283.47/25,211.04
  6. Step 6: Final answer
    x = 11,509.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.