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Finding the Fourth Proportional to 10,089.04, 15,111.68 and 4,884

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Solution

The fourth proportional to 10,089.04, 15,111.68 and 4,884 is: 7,315.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.04 : 15,111.68 = 4,884 : x
  2. Step 2: Convert to fraction form
    10,089.04/15,111.68 = 4,884/x
  3. Step 3: Cross multiply
    10,089.04x = 15,111.68 × 4,884
  4. Step 4: Simplify right side
    10,089.04x = 73,805,445.12
  5. Step 5: Solve for x
    x = 73,805,445.12/10,089.04
  6. Step 6: Final answer
    x = 7,315.41

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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.