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Finding the Fourth Proportional to 10,487.51, 14,470.37 and 7,656.42

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Solution

The fourth proportional to 10,487.51, 14,470.37 and 7,656.42 is: 10,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.51 : 14,470.37 = 7,656.42 : x
  2. Step 2: Convert to fraction form
    10,487.51/14,470.37 = 7,656.42/x
  3. Step 3: Cross multiply
    10,487.51x = 14,470.37 × 7,656.42
  4. Step 4: Simplify right side
    10,487.51x = 110,791,191.99
  5. Step 5: Solve for x
    x = 110,791,191.99/10,487.51
  6. Step 6: Final answer
    x = 10,564.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.