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Finding the Fourth Proportional to 7,566.93, 10,442.75 and 4,210.06

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Solution

The fourth proportional to 7,566.93, 10,442.75 and 4,210.06 is: 5,810.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.93 : 10,442.75 = 4,210.06 : x
  2. Step 2: Convert to fraction form
    7,566.93/10,442.75 = 4,210.06/x
  3. Step 3: Cross multiply
    7,566.93x = 10,442.75 × 4,210.06
  4. Step 4: Simplify right side
    7,566.93x = 43,964,625.98
  5. Step 5: Solve for x
    x = 43,964,625.98/7,566.93
  6. Step 6: Final answer
    x = 5,810.10

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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.