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Finding the Fourth Proportional to 7,612.30, 10,506.67 and 4,627.50

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Solution

The fourth proportional to 7,612.30, 10,506.67 and 4,627.50 is: 6,386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612.30 : 10,506.67 = 4,627.50 : x
  2. Step 2: Convert to fraction form
    7,612.30/10,506.67 = 4,627.50/x
  3. Step 3: Cross multiply
    7,612.30x = 10,506.67 × 4,627.50
  4. Step 4: Simplify right side
    7,612.30x = 48,619,592.29
  5. Step 5: Solve for x
    x = 48,619,592.29/7,612.30
  6. Step 6: Final answer
    x = 6,386.98

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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.