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Finding the Fourth Proportional to 10,897.95, 15,002.33 and 9,778.53

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Solution

The fourth proportional to 10,897.95, 15,002.33 and 9,778.53 is: 13,461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.95 : 15,002.33 = 9,778.53 : x
  2. Step 2: Convert to fraction form
    10,897.95/15,002.33 = 9,778.53/x
  3. Step 3: Cross multiply
    10,897.95x = 15,002.33 × 9,778.53
  4. Step 4: Simplify right side
    10,897.95x = 146,700,685.08
  5. Step 5: Solve for x
    x = 146,700,685.08/10,897.95
  6. Step 6: Final answer
    x = 13,461.31

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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.