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Finding the Fourth Proportional to 7,269.74, 10,038.90 and 4,618

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Solution

The fourth proportional to 7,269.74, 10,038.90 and 4,618 is: 6,377.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,269.74 : 10,038.90 = 4,618 : x
  2. Step 2: Convert to fraction form
    7,269.74/10,038.90 = 4,618/x
  3. Step 3: Cross multiply
    7,269.74x = 10,038.90 × 4,618
  4. Step 4: Simplify right side
    7,269.74x = 46,359,640.20
  5. Step 5: Solve for x
    x = 46,359,640.20/7,269.74
  6. Step 6: Final answer
    x = 6,377.07

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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.