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Finding the Fourth Proportional to 10,527.52, 15,774 and 3,598.24

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Solution

The fourth proportional to 10,527.52, 15,774 and 3,598.24 is: 5,391.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.52 : 15,774 = 3,598.24 : x
  2. Step 2: Convert to fraction form
    10,527.52/15,774 = 3,598.24/x
  3. Step 3: Cross multiply
    10,527.52x = 15,774 × 3,598.24
  4. Step 4: Simplify right side
    10,527.52x = 56,758,637.76
  5. Step 5: Solve for x
    x = 56,758,637.76/10,527.52
  6. Step 6: Final answer
    x = 5,391.45

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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.