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Finding the Fourth Proportional to 10,582.11, 14,603.90 and 7,042.95

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Solution

The fourth proportional to 10,582.11, 14,603.90 and 7,042.95 is: 9,719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.11 : 14,603.90 = 7,042.95 : x
  2. Step 2: Convert to fraction form
    10,582.11/14,603.90 = 7,042.95/x
  3. Step 3: Cross multiply
    10,582.11x = 14,603.90 × 7,042.95
  4. Step 4: Simplify right side
    10,582.11x = 102,854,502.29
  5. Step 5: Solve for x
    x = 102,854,502.29/10,582.11
  6. Step 6: Final answer
    x = 9,719.66

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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.