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Finding the Fourth Proportional to 11,495.47, 15,862.76 and 6,459.29

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Solution

The fourth proportional to 11,495.47, 15,862.76 and 6,459.29 is: 8,913.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495.47 : 15,862.76 = 6,459.29 : x
  2. Step 2: Convert to fraction form
    11,495.47/15,862.76 = 6,459.29/x
  3. Step 3: Cross multiply
    11,495.47x = 15,862.76 × 6,459.29
  4. Step 4: Simplify right side
    11,495.47x = 102,462,167.04
  5. Step 5: Solve for x
    x = 102,462,167.04/11,495.47
  6. Step 6: Final answer
    x = 8,913.26

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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.