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Finding the Fourth Proportional to 10,615.76, 14,645.96 and 7,298

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Solution

The fourth proportional to 10,615.76, 14,645.96 and 7,298 is: 10,068.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.76 : 14,645.96 = 7,298 : x
  2. Step 2: Convert to fraction form
    10,615.76/14,645.96 = 7,298/x
  3. Step 3: Cross multiply
    10,615.76x = 14,645.96 × 7,298
  4. Step 4: Simplify right side
    10,615.76x = 106,886,216.08
  5. Step 5: Solve for x
    x = 106,886,216.08/10,615.76
  6. Step 6: Final answer
    x = 10,068.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.