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Finding the Fourth Proportional to 7,702.02, 10,628.01 and 4,557.06

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Solution

The fourth proportional to 7,702.02, 10,628.01 and 4,557.06 is: 6,288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.02 : 10,628.01 = 4,557.06 : x
  2. Step 2: Convert to fraction form
    7,702.02/10,628.01 = 4,557.06/x
  3. Step 3: Cross multiply
    7,702.02x = 10,628.01 × 4,557.06
  4. Step 4: Simplify right side
    7,702.02x = 48,432,479.25
  5. Step 5: Solve for x
    x = 48,432,479.25/7,702.02
  6. Step 6: Final answer
    x = 6,288.28

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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.