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Finding the Fourth Proportional to 10,507.29, 14,502.51 and 6,531.39

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Solution

The fourth proportional to 10,507.29, 14,502.51 and 6,531.39 is: 9,014.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.29 : 14,502.51 = 6,531.39 : x
  2. Step 2: Convert to fraction form
    10,507.29/14,502.51 = 6,531.39/x
  3. Step 3: Cross multiply
    10,507.29x = 14,502.51 × 6,531.39
  4. Step 4: Simplify right side
    10,507.29x = 94,721,548.79
  5. Step 5: Solve for x
    x = 94,721,548.79/10,507.29
  6. Step 6: Final answer
    x = 9,014.84

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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.