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Finding the Fourth Proportional to 7,106.54, 9,805.05 and 4,588.76

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Solution

The fourth proportional to 7,106.54, 9,805.05 and 4,588.76 is: 6,331.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.54 : 9,805.05 = 4,588.76 : x
  2. Step 2: Convert to fraction form
    7,106.54/9,805.05 = 4,588.76/x
  3. Step 3: Cross multiply
    7,106.54x = 9,805.05 × 4,588.76
  4. Step 4: Simplify right side
    7,106.54x = 44,993,045.75
  5. Step 5: Solve for x
    x = 44,993,045.75/7,106.54
  6. Step 6: Final answer
    x = 6,331.22

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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.