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Finding the Fourth Proportional to 7,140.48, 10,709.16 and 5,054.64

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Solution

The fourth proportional to 7,140.48, 10,709.16 and 5,054.64 is: 7,580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.48 : 10,709.16 = 5,054.64 : x
  2. Step 2: Convert to fraction form
    7,140.48/10,709.16 = 5,054.64/x
  3. Step 3: Cross multiply
    7,140.48x = 10,709.16 × 5,054.64
  4. Step 4: Simplify right side
    7,140.48x = 54,130,948.50
  5. Step 5: Solve for x
    x = 54,130,948.50/7,140.48
  6. Step 6: Final answer
    x = 7,580.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.