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Finding the Fourth Proportional to 7,875.32, 10,866.56 and 4,731.57

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Solution

The fourth proportional to 7,875.32, 10,866.56 and 4,731.57 is: 6,528.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.32 : 10,866.56 = 4,731.57 : x
  2. Step 2: Convert to fraction form
    7,875.32/10,866.56 = 4,731.57/x
  3. Step 3: Cross multiply
    7,875.32x = 10,866.56 × 4,731.57
  4. Step 4: Simplify right side
    7,875.32x = 51,415,865.64
  5. Step 5: Solve for x
    x = 51,415,865.64/7,875.32
  6. Step 6: Final answer
    x = 6,528.74

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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.