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Finding the Fourth Proportional to 6,802.38, 10,214.88 and 4,595.40

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Solution

The fourth proportional to 6,802.38, 10,214.88 and 4,595.40 is: 6,900.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.38 : 10,214.88 = 4,595.40 : x
  2. Step 2: Convert to fraction form
    6,802.38/10,214.88 = 4,595.40/x
  3. Step 3: Cross multiply
    6,802.38x = 10,214.88 × 4,595.40
  4. Step 4: Simplify right side
    6,802.38x = 46,941,459.55
  5. Step 5: Solve for x
    x = 46,941,459.55/6,802.38
  6. Step 6: Final answer
    x = 6,900.74

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