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Finding the Fourth Proportional to 7,567.83, 10,442.88 and 4,210.34

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Solution

The fourth proportional to 7,567.83, 10,442.88 and 4,210.34 is: 5,809.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.83 : 10,442.88 = 4,210.34 : x
  2. Step 2: Convert to fraction form
    7,567.83/10,442.88 = 4,210.34/x
  3. Step 3: Cross multiply
    7,567.83x = 10,442.88 × 4,210.34
  4. Step 4: Simplify right side
    7,567.83x = 43,968,023.16
  5. Step 5: Solve for x
    x = 43,968,023.16/7,567.83
  6. Step 6: Final answer
    x = 5,809.86

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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.