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Finding the Fourth Proportional to 10,365.84, 15,527.52 and 7,023.60

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Solution

The fourth proportional to 10,365.84, 15,527.52 and 7,023.60 is: 10,521.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.84 : 15,527.52 = 7,023.60 : x
  2. Step 2: Convert to fraction form
    10,365.84/15,527.52 = 7,023.60/x
  3. Step 3: Cross multiply
    10,365.84x = 15,527.52 × 7,023.60
  4. Step 4: Simplify right side
    10,365.84x = 109,059,089.47
  5. Step 5: Solve for x
    x = 109,059,089.47/10,365.84
  6. Step 6: Final answer
    x = 10,521.01

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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.