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Finding the Fourth Proportional to 10,897.77, 15,038.71 and 6,117.83

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Solution

The fourth proportional to 10,897.77, 15,038.71 and 6,117.83 is: 8,442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.77 : 15,038.71 = 6,117.83 : x
  2. Step 2: Convert to fraction form
    10,897.77/15,038.71 = 6,117.83/x
  3. Step 3: Cross multiply
    10,897.77x = 15,038.71 × 6,117.83
  4. Step 4: Simplify right side
    10,897.77x = 92,004,180.71
  5. Step 5: Solve for x
    x = 92,004,180.71/10,897.77
  6. Step 6: Final answer
    x = 8,442.48

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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.