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Finding the Fourth Proportional to 10,328.16, 14,252.64 and 5,612.40

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Solution

The fourth proportional to 10,328.16, 14,252.64 and 5,612.40 is: 7,744.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,328.16 : 14,252.64 = 5,612.40 : x
  2. Step 2: Convert to fraction form
    10,328.16/14,252.64 = 5,612.40/x
  3. Step 3: Cross multiply
    10,328.16x = 14,252.64 × 5,612.40
  4. Step 4: Simplify right side
    10,328.16x = 79,991,516.74
  5. Step 5: Solve for x
    x = 79,991,516.74/10,328.16
  6. Step 6: Final answer
    x = 7,744.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.