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Finding the Fourth Proportional to 10,565.03, 15,826.35 and 5,023.71

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Solution

The fourth proportional to 10,565.03, 15,826.35 and 5,023.71 is: 7,525.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.03 : 15,826.35 = 5,023.71 : x
  2. Step 2: Convert to fraction form
    10,565.03/15,826.35 = 5,023.71/x
  3. Step 3: Cross multiply
    10,565.03x = 15,826.35 × 5,023.71
  4. Step 4: Simplify right side
    10,565.03x = 79,506,992.76
  5. Step 5: Solve for x
    x = 79,506,992.76/10,565.03
  6. Step 6: Final answer
    x = 7,525.49

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