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Finding the Fourth Proportional to 7,106.37, 9,804.78 and 4,588.53

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Solution

The fourth proportional to 7,106.37, 9,804.78 and 4,588.53 is: 6,330.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.37 : 9,804.78 = 4,588.53 : x
  2. Step 2: Convert to fraction form
    7,106.37/9,804.78 = 4,588.53/x
  3. Step 3: Cross multiply
    7,106.37x = 9,804.78 × 4,588.53
  4. Step 4: Simplify right side
    7,106.37x = 44,989,527.17
  5. Step 5: Solve for x
    x = 44,989,527.17/7,106.37
  6. Step 6: Final answer
    x = 6,330.87

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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.