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Finding the Fourth Proportional to 7,864.53, 10,852.86 and 4,509.31

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Solution

The fourth proportional to 7,864.53, 10,852.86 and 4,509.31 is: 6,222.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.53 : 10,852.86 = 4,509.31 : x
  2. Step 2: Convert to fraction form
    7,864.53/10,852.86 = 4,509.31/x
  3. Step 3: Cross multiply
    7,864.53x = 10,852.86 × 4,509.31
  4. Step 4: Simplify right side
    7,864.53x = 48,938,899.90
  5. Step 5: Solve for x
    x = 48,938,899.90/7,864.53
  6. Step 6: Final answer
    x = 6,222.74

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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.