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Finding the Fourth Proportional to 6,507.36, 8,970.48 and 5,107.68

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Solution

The fourth proportional to 6,507.36, 8,970.48 and 5,107.68 is: 7,041.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.36 : 8,970.48 = 5,107.68 : x
  2. Step 2: Convert to fraction form
    6,507.36/8,970.48 = 5,107.68/x
  3. Step 3: Cross multiply
    6,507.36x = 8,970.48 × 5,107.68
  4. Step 4: Simplify right side
    6,507.36x = 45,818,341.29
  5. Step 5: Solve for x
    x = 45,818,341.29/6,507.36
  6. Step 6: Final answer
    x = 7,041.00

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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.