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Finding the Fourth Proportional to 10,582.61, 14,603.24 and 5,801.79

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Solution

The fourth proportional to 10,582.61, 14,603.24 and 5,801.79 is: 8,006.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.61 : 14,603.24 = 5,801.79 : x
  2. Step 2: Convert to fraction form
    10,582.61/14,603.24 = 5,801.79/x
  3. Step 3: Cross multiply
    10,582.61x = 14,603.24 × 5,801.79
  4. Step 4: Simplify right side
    10,582.61x = 84,724,931.80
  5. Step 5: Solve for x
    x = 84,724,931.80/10,582.61
  6. Step 6: Final answer
    x = 8,006.05

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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.