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Finding the Fourth Proportional to 10,569.86, 15,854.94 and 5,023.77

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Solution

The fourth proportional to 10,569.86, 15,854.94 and 5,023.77 is: 7,535.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.86 : 15,854.94 = 5,023.77 : x
  2. Step 2: Convert to fraction form
    10,569.86/15,854.94 = 5,023.77/x
  3. Step 3: Cross multiply
    10,569.86x = 15,854.94 × 5,023.77
  4. Step 4: Simplify right side
    10,569.86x = 79,651,492.65
  5. Step 5: Solve for x
    x = 79,651,492.65/10,569.86
  6. Step 6: Final answer
    x = 7,535.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.