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Finding the Fourth Proportional to 10,441.32, 14,409.93 and 5,726.52

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Solution

The fourth proportional to 10,441.32, 14,409.93 and 5,726.52 is: 7,903.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.32 : 14,409.93 = 5,726.52 : x
  2. Step 2: Convert to fraction form
    10,441.32/14,409.93 = 5,726.52/x
  3. Step 3: Cross multiply
    10,441.32x = 14,409.93 × 5,726.52
  4. Step 4: Simplify right side
    10,441.32x = 82,518,752.34
  5. Step 5: Solve for x
    x = 82,518,752.34/10,441.32
  6. Step 6: Final answer
    x = 7,903.10

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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.