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Finding the Fourth Proportional to 7,675.56, 11,505.36 and 5,210.58

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Solution

The fourth proportional to 7,675.56, 11,505.36 and 5,210.58 is: 7,810.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.56 : 11,505.36 = 5,210.58 : x
  2. Step 2: Convert to fraction form
    7,675.56/11,505.36 = 5,210.58/x
  3. Step 3: Cross multiply
    7,675.56x = 11,505.36 × 5,210.58
  4. Step 4: Simplify right side
    7,675.56x = 59,949,598.71
  5. Step 5: Solve for x
    x = 59,949,598.71/7,675.56
  6. Step 6: Final answer
    x = 7,810.45

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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.