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Finding the Fourth Proportional to 7,124, 9,826.80 and 4,602.08

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Solution

The fourth proportional to 7,124, 9,826.80 and 4,602.08 is: 6,348.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124 : 9,826.80 = 4,602.08 : x
  2. Step 2: Convert to fraction form
    7,124/9,826.80 = 4,602.08/x
  3. Step 3: Cross multiply
    7,124x = 9,826.80 × 4,602.08
  4. Step 4: Simplify right side
    7,124x = 45,223,719.74
  5. Step 5: Solve for x
    x = 45,223,719.74/7,124
  6. Step 6: Final answer
    x = 6,348.08

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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.