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Finding the Fourth Proportional to 7,445.77, 10,275.09 and 4,088.50

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Solution

The fourth proportional to 7,445.77, 10,275.09 and 4,088.50 is: 5,642.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,445.77 : 10,275.09 = 4,088.50 : x
  2. Step 2: Convert to fraction form
    7,445.77/10,275.09 = 4,088.50/x
  3. Step 3: Cross multiply
    7,445.77x = 10,275.09 × 4,088.50
  4. Step 4: Simplify right side
    7,445.77x = 42,009,705.47
  5. Step 5: Solve for x
    x = 42,009,705.47/7,445.77
  6. Step 6: Final answer
    x = 5,642.09

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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.