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Finding the Fourth Proportional to 8,290.95, 11,437.77 and 4,931.93

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Solution

The fourth proportional to 8,290.95, 11,437.77 and 4,931.93 is: 6,803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.95 : 11,437.77 = 4,931.93 : x
  2. Step 2: Convert to fraction form
    8,290.95/11,437.77 = 4,931.93/x
  3. Step 3: Cross multiply
    8,290.95x = 11,437.77 × 4,931.93
  4. Step 4: Simplify right side
    8,290.95x = 56,410,256.34
  5. Step 5: Solve for x
    x = 56,410,256.34/8,290.95
  6. Step 6: Final answer
    x = 6,803.84

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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.