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Finding the Fourth Proportional to 7,497.63, 10,347.99 and 7,165.47

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Solution

The fourth proportional to 7,497.63, 10,347.99 and 7,165.47 is: 9,889.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.63 : 10,347.99 = 7,165.47 : x
  2. Step 2: Convert to fraction form
    7,497.63/10,347.99 = 7,165.47/x
  3. Step 3: Cross multiply
    7,497.63x = 10,347.99 × 7,165.47
  4. Step 4: Simplify right side
    7,497.63x = 74,148,211.91
  5. Step 5: Solve for x
    x = 74,148,211.91/7,497.63
  6. Step 6: Final answer
    x = 9,889.55

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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.