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Finding the Fourth Proportional to 10,898.16, 15,038.40 and 6,182.40

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Solution

The fourth proportional to 10,898.16, 15,038.40 and 6,182.40 is: 8,531.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.16 : 15,038.40 = 6,182.40 : x
  2. Step 2: Convert to fraction form
    10,898.16/15,038.40 = 6,182.40/x
  3. Step 3: Cross multiply
    10,898.16x = 15,038.40 × 6,182.40
  4. Step 4: Simplify right side
    10,898.16x = 92,973,404.16
  5. Step 5: Solve for x
    x = 92,973,404.16/10,898.16
  6. Step 6: Final answer
    x = 8,531.11

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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.