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Finding the Fourth Proportional to 6,875.64, 10,263.60 and 6,045.30

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Solution

The fourth proportional to 6,875.64, 10,263.60 and 6,045.30 is: 9,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.64 : 10,263.60 = 6,045.30 : x
  2. Step 2: Convert to fraction form
    6,875.64/10,263.60 = 6,045.30/x
  3. Step 3: Cross multiply
    6,875.64x = 10,263.60 × 6,045.30
  4. Step 4: Simplify right side
    6,875.64x = 62,046,541.08
  5. Step 5: Solve for x
    x = 62,046,541.08/6,875.64
  6. Step 6: Final answer
    x = 9,024.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.