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Finding the Fourth Proportional to 10,023.42, 15,030.03 and 5,864.76

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Solution

The fourth proportional to 10,023.42, 15,030.03 and 5,864.76 is: 8,794.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.42 : 15,030.03 = 5,864.76 : x
  2. Step 2: Convert to fraction form
    10,023.42/15,030.03 = 5,864.76/x
  3. Step 3: Cross multiply
    10,023.42x = 15,030.03 × 5,864.76
  4. Step 4: Simplify right side
    10,023.42x = 88,147,518.74
  5. Step 5: Solve for x
    x = 88,147,518.74/10,023.42
  6. Step 6: Final answer
    x = 8,794.16

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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.