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Finding the Fourth Proportional to 10,606.16, 15,802.66 and 10,010

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Solution

The fourth proportional to 10,606.16, 15,802.66 and 10,010 is: 14,914.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.16 : 15,802.66 = 10,010 : x
  2. Step 2: Convert to fraction form
    10,606.16/15,802.66 = 10,010/x
  3. Step 3: Cross multiply
    10,606.16x = 15,802.66 × 10,010
  4. Step 4: Simplify right side
    10,606.16x = 158,184,626.60
  5. Step 5: Solve for x
    x = 158,184,626.60/10,606.16
  6. Step 6: Final answer
    x = 14,914.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.