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Finding the Fourth Proportional to 7,312.16, 10,973.10 and 3,416.87

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Solution

The fourth proportional to 7,312.16, 10,973.10 and 3,416.87 is: 5,127.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.16 : 10,973.10 = 3,416.87 : x
  2. Step 2: Convert to fraction form
    7,312.16/10,973.10 = 3,416.87/x
  3. Step 3: Cross multiply
    7,312.16x = 10,973.10 × 3,416.87
  4. Step 4: Simplify right side
    7,312.16x = 37,493,656.20
  5. Step 5: Solve for x
    x = 37,493,656.20/7,312.16
  6. Step 6: Final answer
    x = 5,127.58

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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.