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Finding the Fourth Proportional to 6,909.51, 10,364.07 and 1,715.37

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Solution

The fourth proportional to 6,909.51, 10,364.07 and 1,715.37 is: 2,573.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.51 : 10,364.07 = 1,715.37 : x
  2. Step 2: Convert to fraction form
    6,909.51/10,364.07 = 1,715.37/x
  3. Step 3: Cross multiply
    6,909.51x = 10,364.07 × 1,715.37
  4. Step 4: Simplify right side
    6,909.51x = 17,778,214.76
  5. Step 5: Solve for x
    x = 17,778,214.76/6,909.51
  6. Step 6: Final answer
    x = 2,573.01

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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.