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Finding the Fourth Proportional to 7,580.16, 10,462.50 and 4,750.02

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Solution

The fourth proportional to 7,580.16, 10,462.50 and 4,750.02 is: 6,556.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.16 : 10,462.50 = 4,750.02 : x
  2. Step 2: Convert to fraction form
    7,580.16/10,462.50 = 4,750.02/x
  3. Step 3: Cross multiply
    7,580.16x = 10,462.50 × 4,750.02
  4. Step 4: Simplify right side
    7,580.16x = 49,697,084.25
  5. Step 5: Solve for x
    x = 49,697,084.25/7,580.16
  6. Step 6: Final answer
    x = 6,556.21

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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.