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Finding the Fourth Proportional to 10,374.32, 15,565.32 and 4,830.64

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Solution

The fourth proportional to 10,374.32, 15,565.32 and 4,830.64 is: 7,247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.32 : 15,565.32 = 4,830.64 : x
  2. Step 2: Convert to fraction form
    10,374.32/15,565.32 = 4,830.64/x
  3. Step 3: Cross multiply
    10,374.32x = 15,565.32 × 4,830.64
  4. Step 4: Simplify right side
    10,374.32x = 75,190,457.40
  5. Step 5: Solve for x
    x = 75,190,457.40/10,374.32
  6. Step 6: Final answer
    x = 7,247.75

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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.