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Finding the Fourth Proportional to 10,232.07, 15,328.04 and 5,304.93

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Solution

The fourth proportional to 10,232.07, 15,328.04 and 5,304.93 is: 7,946.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.07 : 15,328.04 = 5,304.93 : x
  2. Step 2: Convert to fraction form
    10,232.07/15,328.04 = 5,304.93/x
  3. Step 3: Cross multiply
    10,232.07x = 15,328.04 × 5,304.93
  4. Step 4: Simplify right side
    10,232.07x = 81,314,152.71
  5. Step 5: Solve for x
    x = 81,314,152.71/10,232.07
  6. Step 6: Final answer
    x = 7,946.99

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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.