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Finding the Fourth Proportional to 11,534.61, 15,915.96 and 6,498.57

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Solution

The fourth proportional to 11,534.61, 15,915.96 and 6,498.57 is: 8,967.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.61 : 15,915.96 = 6,498.57 : x
  2. Step 2: Convert to fraction form
    11,534.61/15,915.96 = 6,498.57/x
  3. Step 3: Cross multiply
    11,534.61x = 15,915.96 × 6,498.57
  4. Step 4: Simplify right side
    11,534.61x = 103,430,980.18
  5. Step 5: Solve for x
    x = 103,430,980.18/11,534.61
  6. Step 6: Final answer
    x = 8,967.01

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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.