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Finding the Fourth Proportional to 7,657.94, 11,486.76 and 4,364.01

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Solution

The fourth proportional to 7,657.94, 11,486.76 and 4,364.01 is: 6,545.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.94 : 11,486.76 = 4,364.01 : x
  2. Step 2: Convert to fraction form
    7,657.94/11,486.76 = 4,364.01/x
  3. Step 3: Cross multiply
    7,657.94x = 11,486.76 × 4,364.01
  4. Step 4: Simplify right side
    7,657.94x = 50,128,335.51
  5. Step 5: Solve for x
    x = 50,128,335.51/7,657.94
  6. Step 6: Final answer
    x = 6,545.93

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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.